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1306830829 is a prime number
BaseRepresentation
bin100110111100100…
…1010011111101101
310101002000212212211
41031321022133231
510134022041304
6333401530421
744245610263
oct11571123755
93332025784
101306830829
11610743387
123057a3a11
1317a98a1a5
14c57bc433
1579ade204
hex4de4a7ed

1306830829 has 2 divisors, whose sum is σ = 1306830830. Its totient is φ = 1306830828.

The previous prime is 1306830827. The next prime is 1306830841. The reversal of 1306830829 is 9280386031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1010922025 + 295908804 = 31795^2 + 17202^2 .

It is a cyclic number.

It is not a de Polignac number, because 1306830829 - 21 = 1306830827 is a prime.

Together with 1306830827, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1306830791 and 1306830800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1306830827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 653415414 + 653415415.

It is an arithmetic number, because the mean of its divisors is an integer number (653415415).

Almost surely, 21306830829 is an apocalyptic number.

It is an amenable number.

1306830829 is a deficient number, since it is larger than the sum of its proper divisors (1).

1306830829 is an equidigital number, since it uses as much as digits as its factorization.

1306830829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 1306830829 is about 36150.1152003697. The cubic root of 1306830829 is about 1093.3011134562.

The spelling of 1306830829 in words is "one billion, three hundred six million, eight hundred thirty thousand, eight hundred twenty-nine".